At the end of the day, it's your cosplay, you can do what you want with it. Such a small change wouldn't make much of a difference. It's just a wand after all.
Take Sailor Moon for example, I see people cosplaying say Eternal Sailor Moon and carries the Spiral Heart Rod (seen this exact mismatch before). But it doesn't matter. I'm pretty sure hundreds of cosplayers have mixed and match between different things for a set character.